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Finding the Fourth Proportional to 109,682.57, 164,491.17 and 46,501.68

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Solution

The fourth proportional to 109,682.57, 164,491.17 and 46,501.68 is: 69,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,682.57 : 164,491.17 = 46,501.68 : x
  2. Step 2: Convert to fraction form
    109,682.57/164,491.17 = 46,501.68/x
  3. Step 3: Cross multiply
    109,682.57x = 164,491.17 × 46,501.68
  4. Step 4: Simplify right side
    109,682.57x = 7,649,116,192.63
  5. Step 5: Solve for x
    x = 7,649,116,192.63/109,682.57
  6. Step 6: Final answer
    x = 69,738.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.